Uniformly Bounded State Estimation over Multiple Access Channels
Systems and Control
2022-12-23 v3 Information Theory
Systems and Control
math.IT
Abstract
This paper addresses the problem of distributed state estimation via multiple access channels (MACs). We consider a scenario where two encoders are simultaneously communicating their measurements through a noisy channel. Firstly, the zero-error capacity region of the general M-input, single-output MAC is characterized using tools from nonstochastic information theory. Next, we show that a tight condition to be able to achieve uniformly bounded state estimation errors can be given in terms of the channel zero-error capacity region. This criterion relates the channel properties to the plant dynamics. These results pave the way towards understanding information flows in networked control systems with multiple transmitters.
Cite
@article{arxiv.2002.03294,
title = {Uniformly Bounded State Estimation over Multiple Access Channels},
author = {Ghassen Zafzouf and Girish N. Nair and Farhad Farokhi},
journal= {arXiv preprint arXiv:2002.03294},
year = {2022}
}